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- An X random variable comes from any distribution with 21 averages and 17 variances. What is the probability that a sample of 45 randomly selected from this stack has a sample mean between 20 and 26? Calculate.Rods are produced in large quantities in a factory. The masses of these rods are normally distributed with mean 250g and variance 9g. A random sample of 100 rods is selected. Find the probability that the mean mass of the rods in the sample will lie between 249g and 251g. If the rods are produced in batches of n and a batch is selected at random, find the least value of n such that the probability that the mean mass of the rods in the batch will lie between 249g and 251g is greater than 0.95.Please note the question is: What is the distribution of the t-test statistic if m, n -----> ∞ ?
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